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(CORRECT ANSWER) MATH225N Week 6 Quiz : Hugo averages 42 words per minute on a typing test with a standard deviation of 5.5 words per minute.

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QUESTION 23 (Next Q is a slight variation of this question)

Hugo averages 42 words per minute on a typing test with a standard deviation of 5.5 words per minute. Suppose Hugo’s words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(42,5.5).

Suppose Hugo types 60 words per minute in a typing test on Wednesday. The z-score when x=60 is ________. This z-score tells you that x=60 is ________ standard deviations to the ________ (right/left) of the mean, ________.

Correctly fill in the blanks in the statement above.

Select the correct answer below:

Suppose Hugo types 60 words per minute in a typing test on Wednesday. The z-score when x=60 is 3.176. This z-score tells you that x=60 is 3.176 standard deviations to the right of the mean, 42.

Suppose Hugo types 60 words per minute in a typing test on Wednesday. The z-score when x=60 is 3.273. This z-score tells you that x=60 is 3.273 standard deviations to the right of the mean, 42.

Suppose Hugo types 60 words per minute in a typing test on Wednesday. The z-score when x=60 is −3.273. This z-score tells you that x=60 is 3.273 standard deviations to the left of the mean, 42.

Suppose Hugo types 60 words per minute in a typing test on Wednesday. The z-score when x=60 is −3.176. This z-score tells you that x=60 is 3.176 standard deviations to the left of the mean, 42.

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